Numerical Investigation for Solving Two-Point Fuzzy Boundary Value Problems by Reproducing Kernel Approach

Authors

Rania Saadeh, Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, JordanFollow
Mohammed Al-Smadi, Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, JordanFollow
Ghaleb Gumah, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11942, JordanFollow
Hammad Khalil, Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan\\ Department of Mathematics, University of Poonch Rawalakot, Rawalakot, AJK, PakistanFollow
Rahmat Ali Khan, Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, PakistanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, we implement a relatively recent analytical technique, called iterative reproducing kernel method (IRKM), to obtain a computational solution for fuzzy two-point boundary value problem based on a generalized differentiability concept. The technique methodology is based on construct a solution in the form of a rabidly convergent series with minimum size of calculations using symbolic computation software. The proposed technique is fully compatible with the complexity of such problem, while the obtained results are highly encouraging. Efficacious computational experiments are provided to guarantee the procedure and to illustrate the theoretical statements of the present method in order to show its potentiality, generality and superiority for solving such fuzzy equation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100615

Recommended Citation

Saadeh, Rania; Al-Smadi, Mohammed; Gumah, Ghaleb; Khalil, Hammad; and Ali Khan, Rahmat (2016) "Numerical Investigation for Solving Two-Point Fuzzy Boundary Value Problems by Reproducing Kernel Approach," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 15.
DOI: http://dx.doi.org/10.18576/amis/100615
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/15